Question

The mean resting pulse rate for men is 72 beats per minute. a simple random sample of men who regularly work out at mitch's gym is obtained and their resting pulse rates (in beats per minute) are listed below. use a 0.05 significance level to test that that these sample pulse rates come from a population with a mean less than 72 beats per minute.

Answer 1

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Answer 2

Claim: the mean resting pulse rate for men is less than 72 bpm.

Symbolic form would be: μ < 72

Step 1: null hypothesis : μ > = 7 2 b p m

Step 2: alternative hypothesis: μ < 7 2 b p m

Step 3: the test statistic is z = mean – μ / standard dev/sqrt (n) = -3/4 / 1.7639 = -1.92

Step 4: c v method: since z α = -1.645, the test static is z = -1.92 is less than the CV, we reject null hypothesis

P Value method: area is 0.0274, since the p value is <= α, reject null hypothesis.

Step 5: the sample data support the claim that the mean resting pulse rate for men is less than 72 bpm.